One line segment is 5 emmore than 4 times the length of another. The difference in their lengths
is 35 cm. How long are they?
F 10 cm and 40 cm
G 20 om and 55 cm
H 20 cm and 45 cm
J 10 cm and 45 cm

Let the length of the 1st line segment = x

then the length of the second line segment = 4x + 5

The difference in their lengths = 35

so 4x + 5 - x = 35 ... [longer - shorter = 35]

3x = 30

x = 10

so the shorter (1st) line segment is 10 cm long

and the longer (2nd) line segment is 4 * 10 + 5 = 45 cm long

82

Step-by-step explanation:

The value of the expression

2 + 2×42 - (5 - 3)² =2 + 84 - 2² =86 - 4 =82